Brauer trees for the Schur cover of the symmetric group.
type: Item
instance of: scholarly article
title: Brauer trees for the Schur cover of the symmetric group.
zbMATH Open document ID: 1068.20016
DOI: 10.1016/S0021-8693(03)00342-9
author: Jürgen Müller
published in: Journal of Algebra
publication date: 2003-09-07T00:00:00Z
review text: Brauer trees of the faithful blocks of weight \(1\) of the Schur double covers of the symmetric group \(S_n\) and the alternating group \(A_n\) in odd characteristic are determined. As a corollary, faithful blocks of weight 1 of \(\widetilde S_n\) are classified up to Morita equivalence -- there are \(\lfloor(p+3)/4\rfloor\) such equivalence classes (whereas for a fixed \(p\) there is only one such equivalence class for \(S_n\)).
Mathematics Subject Classification ID: 20C30
Mathematics Subject Classification ID: 20C20
zbMATH DE Number: 1975850
zbMATH Keywords: Brauer trees
zbMATH Keywords: Schur covers
zbMATH Keywords: symmetric groups
zbMATH Keywords: alternating groups
describes a project that uses: GAP
reviewed by: Pham Huu Tiep
MaRDI profile type: Publication
cites work: Q3722697
cites work: Group extensions, representations, and the Schur multiplicator
cites work: Local structure of the p-blocks of \(\tilde S_ n\)
cites work: Q3955560
cites work: Possible Brauer trees
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cites work: Blocks and source algebras for the double covers of the symmetric and alternating groups
cites work: The Spin Representation of the Symmetric Group
full work available at URL: s0021-8693(03)00342-9
OpenAlex ID: W2029369168
description: scientific article; zbMATH DE number 1975850